Your math teacher tells you that next week's test is worth 100 points and contains 52 problems. your teacher says there will be multiple cholce questions that are 1/2 point each and essay questions that are 2.5 points each. you are trying to figure out which type of question to spend the most time studying for. will there be more multiple choice or more essay questions on your test?

There will be more essay questions

Explanation:

Assume that the number of mcq questions is x and that the number of essay questions is y

We are given that:

1- The total number of questions is 52.

This means that:

x + y = 52

This equation can be rewritten as:

y = 52 - x > equation I

2- Each mcq question is worth 0.5 point and each essay question is worth 2.5 points. Also, the total number of points is 100

This means that:

0.5x + 2.5y = 100 > equation II

Substitute with equation I in equation II and solve for x as follows:

0.5x + 2.5y = 100

0.5x + 2.5(52-x) = 100

0.5x + 130 - 2.5x = 100

-2x = -30

x = 15

Substitute with x in equation I to get y:

y = 52 - x

y = 52 - 15

y = 37

Based on the above:

Number of mcq questions = x = 15 questions

Number of essay questions = y = 37 questions

Therefore, there would be more essay questions which means you should spend more time studying essay questions.

Hope this helps :)

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